λ
Harmonic Matrix

5,340,701

41 × 130261
Deficient Odd Composite

5,340,701 has digital root 2. The neighboring primes are 5340689 and 5340707; its proper-divisor sum differs from the starting integer by -5,210,398.

Prime Factor Structure

Factorization String 41 × 130261
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,471,004
Proper Divisor Sum 130,303
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5340689 ← → #5340707

Radix Representation

Decimal 5340701
Binary 10100010111111000011101 (23 bits)
Octal 0o24277035
Hexadecimal 0x517E1D

Divisor Catalog (4)

1 41 130,261 5,340,701

Collatz Trajectory (170 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,340,701 16,022,104 8,011,052 4,005,526 2,002,763 6,008,290 3,004,145 9,012,436 4,506,218 2,253,109 6,759,328 3,379,664 1,689,832 844,916 422,458 211,229 633,688 316,844 158,422 79,211 237,634 118,817 356,452 178,226 89,113 267,340 133,670 66,835 200,506 100,253 300,760 150,380 75,190 37,595 112,786 56,393 169,180 84,590 42,295 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255

More profiles

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